Search a number
-
+
13104430044432 = 2431095981418771
BaseRepresentation
bin1011111010110001110011…
…1001011101010100010000
31201101202211021001110000220
42332230130321131110100
53204200333042410212
643512031514513040
72521522664340336
oct276543471352420
951352737043026
1013104430044432
1141a2615145841
121577887135780
1374098621a10c
14334387581b56
1517ad2279238c
hexbeb1ce5d510

13104430044432 has 80 divisors (see below), whose sum is σ = 34169483578560. Its totient is φ = 4327334668800.

The previous prime is 13104430044383. The next prime is 13104430044457. The reversal of 13104430044432 is 23444003440131.

It is a junction number, because it is equal to n+sod(n) for n = 13104430044393 and 13104430044402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31083207 + ... + 31501977.

It is an arithmetic number, because the mean of its divisors is an integer number (427118544732).

Almost surely, 213104430044432 is an apocalyptic number.

13104430044432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104430044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084741789280).

13104430044432 is an abundant number, since it is smaller than the sum of its proper divisors (21065053534128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13104430044432 is a wasteful number, since it uses less digits than its factorization.

13104430044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424872 (or 424866 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 13104430044432 its reverse (23444003440131), we get a palindrome (36548433484563).

The spelling of 13104430044432 in words is "thirteen trillion, one hundred four billion, four hundred thirty million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 5981 11962 17943 23924 35886 47848 71772 95696 143544 287088 418771 651929 837542 1256313 1303858 1675084 1955787 2512626 2607716 3350168 3911574 5025252 5215432 6700336 7823148 10050504 10430864 15646296 20101008 31292592 45646039 91292078 136938117 182584156 273876234 365168312 547752468 730336624 1095504936 2191009872 2504669351 5009338702 7514008053 10018677404 15028016106 20037354808 30056032212 40074709616 60112064424 120224128848 273008959259 546017918518 819026877777 1092035837036 1638053755554 2184071674072 3276107511108 4368143348144 6552215022216 13104430044432